5733302400 has 288 divisors, whose sum is σ = 23381092800. Its totient is φ = 1310423040.

The previous prime is 5733302389. The next prime is 5733302423. The reversal of 5733302400 is 42033375.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187381 + ... + 215819.

It is an arithmetic number, because the mean of its divisors is an integer number (81184350).

Almost surely, 2^5733302400 is an apocalyptic number.

5733302400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5733302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690546400).

5733302400 is an abundant number, since it is smaller than the sum of its proper divisors (17647790400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5733302400 is a wasteful number, since it uses less digits than its factorization.

5733302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28476 (or 28456 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 5733302400 is about 75718.5736791179. The cubic root of 5733302400 is about 1789.7881005471.

Adding to 5733302400 its reverse (42033375), we get a palindrome (5775335775).

The spelling of 5733302400 in words is "five billion, seven hundred thirty-three million, three hundred two thousand, four hundred".